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Finding the Fourth Proportional to 2,367.58, 3,267.29 and 1,704.65

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Solution

The fourth proportional to 2,367.58, 3,267.29 and 1,704.65 is: 2,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.58 : 3,267.29 = 1,704.65 : x
  2. Step 2: Convert to fraction form
    2,367.58/3,267.29 = 1,704.65/x
  3. Step 3: Cross multiply
    2,367.58x = 3,267.29 × 1,704.65
  4. Step 4: Simplify right side
    2,367.58x = 5,569,564.24
  5. Step 5: Solve for x
    x = 5,569,564.24/2,367.58
  6. Step 6: Final answer
    x = 2,352.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.